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Finding the Fourth Proportional to 733, 1,099.37 and 270.66

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Solution

The fourth proportional to 733, 1,099.37 and 270.66 is: 405.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    733 : 1,099.37 = 270.66 : x
  2. Step 2: Convert to fraction form
    733/1,099.37 = 270.66/x
  3. Step 3: Cross multiply
    733x = 1,099.37 × 270.66
  4. Step 4: Simplify right side
    733x = 297,555.48
  5. Step 5: Solve for x
    x = 297,555.48/733
  6. Step 6: Final answer
    x = 405.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.